Search a number
-
+
243452000 = 2553112503
BaseRepresentation
bin11101000001011…
…00100001100000
3121222002122100202
432200230201200
5444310431000
640054004332
76014210411
oct1640544140
9558078322
10243452000
11115471100
12696466a8
133b58c14c
1424493808
151658ddd5
hexe82c860

243452000 has 144 divisors (see below), whose sum is σ = 658790496. Its totient is φ = 88352000.

The previous prime is 243451981. The next prime is 243452003. The reversal of 243452000 is 254342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243452003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483749 + ... + 484251.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2243452000 is an apocalyptic number.

243452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

243452000 is an abundant number, since it is smaller than the sum of its proper divisors (415338496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243452000 is a wasteful number, since it uses less digits than its factorization.

243452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 243452000 is about 15602.9484393175. The cubic root of 243452000 is about 624.4118199778.

The spelling of 243452000 in words is "two hundred forty-three million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 503 550 605 800 880 968 1000 1006 1100 1210 1375 1760 1936 2000 2012 2200 2420 2515 2750 3025 3872 4000 4024 4400 4840 5030 5500 5533 6050 8048 8800 9680 10060 11000 11066 12100 12575 15125 16096 19360 20120 22000 22132 24200 25150 27665 30250 40240 44000 44264 48400 50300 55330 60500 60863 62875 80480 88528 96800 100600 110660 121000 121726 125750 138325 177056 201200 221320 242000 243452 251500 276650 304315 402400 442640 484000 486904 503000 553300 608630 691625 885280 973808 1006000 1106600 1217260 1383250 1521575 1947616 2012000 2213200 2434520 2766500 3043150 4426400 4869040 5533000 6086300 7607875 9738080 11066000 12172600 15215750 22132000 24345200 30431500 48690400 60863000 121726000 243452000